Least Common Multiple of 346 and 350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 346 and 350 the smallest integer that is 60550 that is divisible by both numbers.

Least Common Multiple (LCM) of 346 and 350 is 60550.

LCM(346,350) = 60550

LCM of 346 and 350

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 346 and 350

LCM of 346 and 350 is 60550

Least common multiple can be found by multiplying the highest exponent prime factors of 346 and 350. First we will calculate the prime factors of 346 and 350.

Prime Factorization of 346


2 346
173 173
1

Prime factors of 346 are 2,173. Prime factorization of 346 in exponential form is:

346 = 21×1731

Prime Factorization of 350


2 350
5 175
5 35
7 7
1

Prime factors of 350 are 2, 5,7. Prime factorization of 350 in exponential form is:

350 = 21×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 346 and 350.

LCM(346,350) = 21×52×71×1731
LCM(346,350) = 60550

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Least Common Multiple of 346 and 350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 346 and 350, than apply into the LCM equation.

GCF(346,350) = 2
LCM(346,350) = ( 346 × 350) / 2
LCM(346,350) = 121100 / 2
LCM(346,350) = 60550

Properties of LCM 346 and 350

(i) The LCM of 350 and 346 is associative

LCM of 346 and 350 = LCM of 350 and 346

Related Least Common Multiples of 346

Related Least Common Multiples of 350

Frequently Asked Questions on LCM of 346 and 350

1. What is the LCM of 346 and 350?

Answer: LCM of 346 and 350 is 60550.

2. What are the Factors of 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

3. What are the Factors of 350?

Answer: Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. There are 12 integers that are factors of 350. The greatest factor of 350 is 350.

4. How to Find the LCM of 346 and 350?

Answer:

Least Common Multiple of 346 and 350 = 60550

Step 1: Find the prime factorization of 346

346 = 2 x 173

Step 2: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 60550 = 2 x 5 x 5 x 7 x 173

Step 4: Therefore, the least common multiple of 346 and 350 is 60550.